Abstract
In the present study described the methodology for determination of sustainable modes of long equivalent of the interconnected power systems of various structures with simplified representation of excitation controllers of generators. According to the results of numerous studies, the criterion of oscillatory disturbance of static stability based on the control of the partial derivative ∂AN/∂δ is formulated. To confirm the formulated criterion of violation of the static vibrational stability performed quantitative mapping of polynomial coefficients of haracteristics equations and additional applications of the matrix equations is redundant points of the equivalent circuit of the Electrical Power Systems (EPS) obtained under the criterion Hurwitz. Quantitative comparison and qualitative analysis of the nature of the change in the roots of the characteristic equation and the Hurwitz determinants confirm that the transition across the boundary of the stability region, found by the formulated criterion on the basis of the control of the partial derivative ∂AN/∂δ taking into account the proposed simplified model of generators at the constant excitation voltage Uf = const, is accompanied by the appearance of reciprocal values of the Hurwitz determinants. Taking into account the generalizations and conclusions obtained, a modified method of studying the static oscillatory stability of the EPS is proposed. The efficiency of the developed algorithm for determining the boundary of the region of potentially stable regimes is estimated. It is shown that the proposed method has the best performance indicators and can reduce the computational cost.
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